3(x-2)-4(x-3)=-2x+1

Solution for 3(x-2)-4(x-3)=-2x+1 equation:

Simplifying
3(x + -2) + -4(x + -3) = -2x + 1

Reorder the terms:
3(-2 + x) + -4(x + -3) = -2x + 1
(-2 * 3 + x * 3) + -4(x + -3) = -2x + 1
(-6 + 3x) + -4(x + -3) = -2x + 1

Reorder the terms:
-6 + 3x + -4(-3 + x) = -2x + 1
-6 + 3x + (-3 * -4 + x * -4) = -2x + 1
-6 + 3x + (12 + -4x) = -2x + 1

Reorder the terms:
-6 + 12 + 3x + -4x = -2x + 1

Combine like terms: -6 + 12 = 6
6 + 3x + -4x = -2x + 1

Combine like terms: 3x + -4x = -1x
6 + -1x = -2x + 1

Reorder the terms:
6 + -1x = 1 + -2x

Solving
6 + -1x = 1 + -2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.
6 + -1x + 2x = 1 + -2x + 2x

Combine like terms: -1x + 2x = 1x
6 + 1x = 1 + -2x + 2x

Combine like terms: -2x + 2x = 0
6 + 1x = 1 + 0
6 + 1x = 1

Add '-6' to each side of the equation.
6 + -6 + 1x = 1 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 1 + -6
1x = 1 + -6

Combine like terms: 1 + -6 = -5
1x = -5

Divide each side by '1'.
x = -5

Simplifying
x = -5